2168073392940 has 1152 divisors, whose sum is σ = 8432518348800. Its totient is φ = 438860851200.

The previous prime is 2168073392867. The next prime is 2168073392963. The reversal of 2168073392940 is 492933708612.

2168073392940 is a `hidden beast` number, since 2 + 16 + 8 + 0 + 7 + 339 + 294 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12112141771 + ... + 12112141949.

It is an arithmetic number, because the mean of its divisors is an integer number (7319894400).

Almost surely, 2^{2168073392940} is an apocalyptic number.

2168073392940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2168073392940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216259174400).

2168073392940 is an abundant number, since it is smaller than the sum of its proper divisors (6264444955860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2168073392940 is a wasteful number, since it uses less digits than its factorization.

2168073392940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 2168073392940 in words is "two trillion, one hundred sixty-eight billion, seventy-three million, three hundred ninety-two thousand, nine hundred forty".